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350370036 = 22351093307
BaseRepresentation
bin10100111000100…
…011100011110100
3220102021122100000
4110320203203310
51204143320121
654433351300
711453044662
oct2470434364
9812248300
10350370036
1116a858215
1299408530
1357785763
1434765c32
1520b5d526
hex14e238f4

350370036 has 72 divisors (see below), whose sum is σ = 927166240. Its totient is φ = 115683552.

The previous prime is 350370011. The next prime is 350370037. The reversal of 350370036 is 630073053.

It is a super-3 number, since 3×3503700363 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 350369991 and 350370009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350370037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104295 + ... + 107601.

Almost surely, 2350370036 is an apocalyptic number.

350370036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350370036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463583120).

350370036 is an abundant number, since it is smaller than the sum of its proper divisors (576796204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350370036 is a wasteful number, since it uses less digits than its factorization.

350370036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 350370036 is about 18718.1739494001. The cubic root of 350370036 is about 704.9781432789.

The spelling of 350370036 in words is "three hundred fifty million, three hundred seventy thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 972 981 1308 1962 2943 3307 3924 5886 6614 8829 9921 11772 13228 17658 19842 26487 29763 35316 39684 52974 59526 89289 105948 119052 178578 267867 357156 360463 535734 720926 803601 1071468 1081389 1441852 1607202 2162778 3214404 3244167 4325556 6488334 9732501 12976668 19465002 29197503 38930004 58395006 87592509 116790012 175185018 350370036